49310093952 has 720 divisors, whose sum is σ = 178135233210. Its totient is φ = 13499136000.

The previous prime is 49310093951. The next prime is 49310093977. The reversal of 49310093952 is 25939001394.

49310093952 is a `hidden beast` number, since 493 + 100 + 9 + 3 + 9 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29537234496 + 19772859456 = 171864^2 + 140616^2 .

It is a junction number, because it is equal to n+sod(n) for n = 49310093898 and 49310093907.

It is not an unprimeable number, because it can be changed into a prime (49310093951) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 488218702 + ... + 488218802.

Almost surely, 2^49310093952 is an apocalyptic number.

49310093952 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49310093952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89067616605).

49310093952 is an abundant number, since it is smaller than the sum of its proper divisors (128825139258).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49310093952 is a wasteful number, since it uses less digits than its factorization.

49310093952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 49310093952 in words is "forty-nine billion, three hundred ten million, ninety-three thousand, nine hundred fifty-two".